Two concentric circle are of raddi 5cm and 3cm. Find the
length of the chord of the larger circle which touches the
smaller circle
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Answer:
Let O be the centre of the concentric circle of radii 5 cm and 3 cm respectively. Let AB be a chord of the larger circle touching the smaller circle at P.
Then
AP=PB and OP⊥AB
Applying Pythagoras theorem in △OPA, we have
OA
2
=OP
2
+AP
2
⇒25=9+AP
2
⇒AP
2
=16⇒AP=4 cm
∴AB=2AP=8 cm
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